Numerical Analysis Seminar

Date: November 13, 2020

Time: 3:00PM - 4:00PM

Location: ZOOM

Speaker: Daniel Massatt, University of Chicago

Title: Momentum space in relaxed incommensurate bilayers

Abstract: Momentum space techniques are fundamental to the understanding of electronic structure of materials and for computing observables such as conductivity and the density of states. The basic formulation of momentum space comes from the Bloch operator for periodic materials. We show that momentum space can be formulated for homogenous incommensurate bilayers, and go further by extending the approach to include mechanical relaxation effects. This leads immediately to efficient algorithms for computing electronic observables in an appropriate class of materials. It further allows a qualitative analysis of the quasi-band structure, which is used for example to understand the famous magic angle in twisted bilayer graphene.